B.
When two lines intersect they form two pairs of opposite angles.
Vertical angles are always congruent, which means that they are equal.
so m<7 = m<8 or m<3y + 19 = m<5y-29
C. solve for y and measure <7 and <8
3y + 19 = 5y-29
5y - 3y = 19+29
2y = 48
y = 24
so
5y-29 = 5(24) - 29 = 91
3y + 19 = 3(24) + 19 = 91
so <7 = 180 - 91 = 89
<7 = <8 = 89
I think its 8m/h or somethan but idrk. Like it doesnt specify how long it took him the run the 2 hours so idrk. Or it would be 2m/d + 6m/h with d=day
Answer:
C
Step-by-step explanation:
For any of the functions described above, the only way any of those could be functions is that there has to be a difference value for each x, unless it is the same x-value. If the x is mentioned twice, that is fine, as long as the y point is also the same. If it is different, it is not a function.
Answer:
Population education is included in school curriculum because of following reasons: It aware the causes and consequences of population growth on socio-economic and environmental aspect. It imparts the knowledge and changes the attitudes and practice of people regarding population.
Answer:
(a) The probability of getting someone who was not sent to prison is 0.55.
(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is 0.63.
Step-by-step explanation:
We are given that in a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.
Let the probability that subjects studied were sent to prison = P(A) = 0.45
Let G = event that subject chose to plead guilty
So, the probability that the subjects chose to plead guilty given that they were sent to prison = P(G/A) = 0.40
and the probability that the subjects chose to plead guilty given that they were not sent to prison = P(G/A') = 0.55
(a) The probability of getting someone who was not sent to prison = 1 - Probability of getting someone who was sent to prison
P(A') = 1 - P(A)
= 1 - 0.45 = 0.55
(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is given by = P(A'/G)
We will use Bayes' Theorem here to calculate the above probability;
P(A'/G) =
=
=
= <u>0.63</u>